A sublattice of the Leech lattice |
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| Affiliation: | Polytechnic Institute of New York, Brooklyn, New York 11201, USA;Seton Hall University, South Orange, New Jersey 07079, USA |
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| Abstract: | In this paper a rank 12 even lattice C is constructed which is type 3 (if v ϵ C then (v, v) ⩾ 6), and which has the following maximality property: C ⊕ C + 3 · Λ24 can be embedded in the Leech lattice Λ24, and is a maximal type 3 sublattice of Λ24. The construction uses properties of the binary and ternary Golay codes. |
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